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Finding the Fourth Proportional to 380.25, 570.47 and 123.75

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Solution

The fourth proportional to 380.25, 570.47 and 123.75 is: 185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 570.47 = 123.75 : x
  2. Step 2: Convert to fraction form
    380.25/570.47 = 123.75/x
  3. Step 3: Cross multiply
    380.25x = 570.47 × 123.75
  4. Step 4: Simplify right side
    380.25x = 70,595.04
  5. Step 5: Solve for x
    x = 70,595.04/380.25
  6. Step 6: Final answer
    x = 185.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.